On fibre bundle formulation of classical and statistical mechanics

Bozhidar Z. Iliev

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arXiv · physics/0109033

On fibre bundle formulation of classical and statistical mechanics

Bozhidar Z. Iliev

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Abstract

Some elements of classical mechanics and classical statistical mechanics are formulated in terms of fibre bundles. In the bundle approach the dynamical and distribution functions are replaced by liftings of paths in a suitably chosen bundle. Their time evolution is described by appropriate linear transports along paths in it or, equivalently, by corresponding invariant bundle equations of motion. In particular, the bundle version of the Liouville equation is derived.

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Bozhidar Z. Iliev. 2001-09-16. On fibre bundle formulation of classical and statistical mechanics. https://arxiv.org/abs/physics/0109033

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